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What is the mersene prime number?

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Anonymous

13y ago
Updated: 10/17/2024

A Mersenne prime has the form 2n-1 and n is prime. Examples are the Mersenne prime 7 (23 - 1 = 7) and the Mersenne prime 127 (27 - 1 = 127). The first forty Mersenne primes are 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, and 20996011.

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13y ago

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What is a mersene prime number?

Mersenne primes are a class of prime numbers, named after Marin Mersenne, the 17th Century French monk, who studied. They are of the form Mn = 2n-1 where p is a prime. In fact, if Mn is a prime, then n must itself be a prime. However, the primality of n is not a sufficient condition. That is, if p is a prime then Mp need not be a prime. For example, M11 = 211 - 1 = 2047 = 23*89.


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